Rectangles Inscribed in Circles

Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a circle and understand the properties of such a rectangle.

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CCSS: Designed
Instructional Ideas

  • Have the class work in groups to create the required constructions
Classroom Considerations

  • Activities require a compass and straightedge
  • Lesson assumes that pupils already know how to do basic constructions (Module 1)
  • The third installment of a 23-part module
Pros

  • Reinforces concepts learned in previous lessons and modules
  • Explorations keep learners involved in the subject material
Cons

  • Lesson likely underestimates the amount of time necessary for the exercises
Common Core